Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.3 - Equations and Inequalities Involving Absolute Value - Exercise Set - Page 284: 84



Work Step by Step

Given: $|5-4x| \leq 13$ As per definition of absolute value, we can write this as: or, $-13 \leq 5-4x \leq 13$ or,$-13 -5\leq -4x \leq 13-5$ or, $-18 \leq -4x \leq 8$ This implies that: $\dfrac{9}{2}\geq x\geq -2$ Hence, $[-2,\dfrac{9}{2}]$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.